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Finding the Fourth Proportional to 253,662.63, 380,497.14 and 76,159.32

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Solution

The fourth proportional to 253,662.63, 380,497.14 and 76,159.32 is: 114,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,662.63 : 380,497.14 = 76,159.32 : x
  2. Step 2: Convert to fraction form
    253,662.63/380,497.14 = 76,159.32/x
  3. Step 3: Cross multiply
    253,662.63x = 380,497.14 × 76,159.32
  4. Step 4: Simplify right side
    253,662.63x = 28,978,403,444.34
  5. Step 5: Solve for x
    x = 28,978,403,444.34/253,662.63
  6. Step 6: Final answer
    x = 114,239.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.